4x-5y=40

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Subtract 4x from both sides of the equation.

-5y=40-4x

Divide each term by -5 and simplify.

Divide each term in -5y=40-4x by -5.

-5y-5=40-5+-4x-5

Cancel the common factor of -5.

Cancel the common factor.

-5y-5=40-5+-4x-5

Divide y by 1.

y=40-5+-4x-5

y=40-5+-4x-5

Simplify 40-5+-4x-5.

Simplify each term.

Divide 40 by -5.

y=-8+-4x-5

Dividing two negative values results in a positive value.

y=-8+4×5

y=-8+4×5

Reorder -8 and 4×5.

y=4×5-8

y=4×5-8

y=4×5-8

Rewrite in slope-intercept form.

y=45x-8

y=45x-8

Using the slope-intercept form, the y-intercept is -8.

b=-8

Find the Y-Intercept 4x-5y=40